Use substitution to solve the system of
equations: 5x + 5y = -30
2x - y = 15

Answers

Answer 1

Answer:

x = 3, y = - 9

Step-by-step explanation:

5x + 5y = - 30...... (1)

2x - y = 15

-y = 15 - 2x

y = 2x - 15..... (2)

From equations (1) & (2)

5x + 5(2x - 15) = - 30

5x + 10x - 75 = - 30

15x = 75 - 30

15x = 45

x = 45/15

x = 3

Plug x = 3 in equation (2)

y = 2*3 - 15

y = 6 - 15

y = - 9

Therefore,

x = 3, y = - 9

or

(x, y) = (3, - 9)

Answer 2
5x + 5y = -30
Divide through by 5
X + Y = -6
Multiplying the equation by 2 and the equation 2x - y = 15 by 1 in order to get rid of x
2x + 2y = -12
2x - y = -15
Subtracting both equations
3y=3
y=1
Substituting y = 1 to get x in any equation
Using 2x - y = -15
2x - 1 = -15
2x =-15 + 1
2x = -14
x = -14/2
x = -7

Related Questions

Help me please. I kinda need it right now.!

Answers

Step-by-step explanation:

Given

[tex]5y - 4 = 126(corresponding \: angles) \\ 5y = 126 + 4 \\ 5y = 130 \\ y = 130 \div 5 \\ = 26[/tex]

Also given

[tex]126 + (6z + 6) = 180(angles \: on \: a \: straight \: line) \\ 132 + 6z = 180 \\ 6z = 18 0 - 132 \\ 6z = 48 \\ z = 48 \div 6 \\ = 8[/tex]

Lastly,

[tex]x = 180 - 126 \\ = 54(angles \: on \: the \: same \: straight \: line \: and \: corresponding \: angles)[/tex]

Answer:

x = 126

y = 26

z = 8

Step-by-step explanation:

6z + 6 + 126 = 180

6z + 132 = 180

6z = 180 - 132

6z = 48

z = 8

6z + 6 + 5y - 4 = 180

6(8) + 6 + 5y - 4 = 180

48 + 2 + 5y = 180

50 + 5y = 180

5y = 180 - 50

5y = 130

y = 26

x = 126 (Because of alternate exterior angles thm)

26,720 inches are equal to _______ miles.

Answers

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Arnold Landis made a deposit of $720 to open a savings account that pays interest at an annual rate of 5%, compounded quarterly.
a. If he keeps his original deposit in the saving account and is paid interest for four quarters, how much interest will he earn in the first year?

Answers

Answer:

Hope It Help

Step-by-step explanation:

Brainliest please


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

117

Step-by-step explanation:

angle 2 = 117 so angle 1 has to =63 because they have to equal 180 (supplementary angles)

angle 1 =63 .  angle 3 =117

angle 7 is the same measurement of angle 3

hope this makes sense

Answer:

117 degrees

Step-by-step explanation:

angle 1 and 2 are supplementary angles which are angles whose measurements add up to 180 degrees

this means angle 1 = 63 degrees

63 + 117 = 180

angle 1 and 3 are linear pair angles which means they also equal 180 degrees

angle 3 = 117 degrees

angle 3 and angle 7 are corresponding angles which means their degrees are equal to each other

angle 7 = 117 degrees

The relationship between angle 2 and 7 would be alternate exterior angles

What is the length of de

Answers

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

help me on this pls!!!

Answers

Answer:

The length of the lake is 1.8 miles.

Step-by-step explanation:

These are similar triangles.

What is the first step in solving the following system of equations?

3 x + y = 23. 8 x + 2 y = 23.
Substitute the value of y from one equation into the other equation.
Solve the first equation for y.
Subtract the second equation from the first equation.
Substitute the value of x from one equation into the other equati

Answers

Answer:

Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value

(Will give 50 points!) The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games. What is the difference between the medians?


A) 2 points

B) 12 points

C) 16 points

D) 4 points

Answers

The answer is C Hope this helps

Answer:

C) 16 points

Step-by-step explanation:

please help want to know if this is correct the resultant of 2 forces 60N East and 20N East is 40N East​

Answers

40n east is I don’t know what you are trying to say exactly

A recent article published in Berry Weekly reported a probability distribution for the different types of jelly that
individuals prefer. Editors from a competitive magazine, Jammin, conducted their own study to test the
distribution. The editors from Jammin surveyed a random sample of 50 individuals and recorded the observed
counts of individuals for each jelly type. They decided to test Berry Weeklys claim using a chi-square goodness-
of-fit test using Jammin's observed counts compared with the number of expected counts based on the Berry
Weekly data.

Answers

Answer:

Step-by-step explanation:


A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?

Answers

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Please help atleast tell me what the sum is

Answers

Answer:

x = 36

Step-by-step explanation:

Hi,

3x-26 + 3x - 10 = 180

6x - 36 = 180

6x = 216

x = 36

hope this helps :)

Answer:

6x-36 is your answer

Step-by-step explanation:

1. remove unnecessary parentheses

2. combine like terms

3. factor

4. your answer

Select following series as artithmetic, geometric or neither. 1+2 +3+4+...+10

Answers

Ok so The answer is 20

A man invests $16 800 in a saving plan that pays simple interest at a rate of 5%. Find the time taken for his investment to grow to $18 900.
Please explain

Answers

Answer:

2.5 years

Step-by-step explanation:

Given

Investment P = $16800Interest rate r = 5% = 0.05 Final amount A = $18900Time t = ?

Use the formula

A = P(1 + rt), where A - final amount, P - investment, r- interest rate, t- time

Substitute the given numbers and solve for t:

18900 = 16800( 1 + 0.05t)1 + 0.05t = 18900/168001 + 0.05t  = 1.1250,05t = 0.125t = 0.125/0.05t = 2.5 years

(12x)
B
(2x + 5)
с
E
x= Answer
MAD -
Answer
BC
Answer
MDC
Answer
mDBC
Answer
D
(17x-14)

Answers

Answer:

x = 9

m(AD) = 108°

m(BC) = 23°

m(DC) = 139°

m(DBC) = 162°

Step-by-step explanation:

AD = 12x°

BC = (2x + 5)°

DC = (17x - 14)°

m<AEB = right angle = 90°

AB = m<AEB = 90° (central angle theorem)

90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)

✔️Solve for x

90 + 12x + 2x + 5 + 17x - 14 = 360

Add like terms

81 + 31x = 360

31x = 360 - 81

31x = 279

x = 279/31

x = 9

✔️Find m(AD)

m(AD) = 12x

Plug in the value of x

m(AD) = 12(9) = 108°

✔️Find m(BC):

m(BC) = (2x + 5) = 2(9) + 5

m(BC) = 23°

✔️Find m(DC) = (17x - 14)° = 17(9) - 14

m(DC) = 139°

✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°

The test scores of the students in four classes are summarized below. Answer the questions about them.

Class A: The mean score is 112 and the range of scores is 46.
Class B: The mean score is 110 and the range of scores is 51.
Class C: The mean score is 117 and the range of scores is 47
Class D: The mean score is 115 and the range of scores is 55

a. Based on the information above, which class's scores have the most variability?
b. Based on the information above, which class's scores have the least variability?

Answers

Answer:

Suppose that the mean score is M, and the range of scores is R.

The range is the difference between the largest score and the smallest score.

So, if the largest score is L, and the smallest score is S, we have:

R = L - S

Now, if the value of R increases, means that the difference between L and S also increases.

So having a large range usually is also a sign of having large variability.

Then:

a: Based on the information above, which class's scores have the most variability?

The class's scores with the most variability will be the class's scores with the largest range, in this case, the largest range of scores is for Class D.

b:  Based on the information above, which class's scores have the least variability?

Now we need to look at the class with the least range of scores, in this case, the smallest one is the one for Class A.

PLEASE I NEED HELP WITH THE BOTTOM QUESTION

Answers

Answer:

6/25

Step-by-step explanation:

40
55
23
26


HELP ASAP PLS

Answers

Answer:

26

Step-by-step explanation:

180-63-78 = 39

180 - 39- 59 =82

180-82-72=26

You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.

Find the total amount that the employer contributes each month.

What amount will you have after 35 years?

How much money have you deposited into the account yourself?

How much more money is in the account than what you have deposited?

Answers

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

Simplify the expression. Write your answer as a power. (-3)⁴/ (-3)¹​

Answers

Answer:

(-3)^3

Step-by-step explanation:

chicken wing chicken wing

Answers

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)

What is the answer please help no links no links

Answers

70 %
30/45 = 2/3 = about 0.67 and 70% (0.70) is the closest

what is 5 cm in mm. NEED HELP ASAP !!!!!!!

Answers

50 millimeters is your answer

What is the volume of the figure below, which is composed of two cubes with side lengths of 6 units?
A.
216 cubic units
B.
360 cubic units
C.
432 cubic units
D.
36 cubic units

Answers

you didn’t figure it out

1) 3n² + 5n +7
A) quadratic monomial
B) cubic binomial
C) constant trinomial
D) quadratic trinomial

Answers

Answer:

D

Step-by-step explanation:

it is a quadratic trinomial

Which of these is a safe practice when working with horses?
A . use a firm, loud voice
B . stay in the horse’s blind spot use quick-release knots for easy escape
C . if unattended, leave the horse tied up

Answers

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Help with the calculus problem please

Answers

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

Draw a pair of supplementary angle where the value of A is half the value of B . label your angle.

Answers

A=60 degrees
B=120 degrees

Hunter took out a $3,500 loan with interest to pay for some business supplies. He will repay the loan in 3 years with monthly payments of $109.68.

Find the total amount of Hunter’s repayment as well as the amount he will pay in interest.

He will pay back ______ in total and ______ in interest.

(Can someone help me with this!! will mark brainiest)

Answers

Answer:

he will pay back $3829.04 in total and $329.04 in interest.

Step-by-step explanation:

Use the information to answer the question.
Juan has 5 counters. Carlos has 60 counters.
Carlos has how many times as many counters as Juan? Enter the answer in the box.

Answers

Answer:

22

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Becuase it was simple math. Have a good day.

Other Questions
Calculate the pH of a solution prepared by dissolving 1.60 g of sodium acetate, CH3COONa, in 50.0 mL of 0.10 M acetic acid, CH3COOH(aq). Assume the volume change upon dissolving the sodium acetate is negligible. Ka of CH3COOH is 1.75 x 10^-5. Two identical regular hexagons are joined together as shown in the diagram.Work out the size of angle x As mentioned in the video, Dr. Nachman and his colleagues have collected dark and light colored mice from dark and light colored rocks in other areas of the American Southwest and found similar patterns (i.e., dark colored mice were more likely to be found on dark rocks; light colored mice were more likely to be found on light rocks). However, genetic analysis showed that the dark fur color in other rock pocket mouse populations was caused by mutations in different genes. This means that there is more than one way (genetically speaking) to make a mouse dark. It also means that adaptive mouse coloration has occurred more than once in similar environments across the southwestern US. How does this information support the concept that natural selection is not a random process Help me with this spanish pleaseClaudia likes to spend time with friends. Read the description and complete her story with the correct form of each verb.Me gusta pasar tiempo con mis amigos los fines de semana. Los viernes generalmente vamos al cine. (Nosotros) ___________ (vivir) cerca de un cine donde dan muchas pelculas. Por lo general, los sbados por la maana, (yo) ___________ (correr) por una hora y luego ___________ (montar) en bicicleta. Mis amigos, Carlos y Mario, generalmente ___________ (montar) en monopatn y en el invierno ___________ (esquiar). Los domingos generalmente (yo) ___________ (leer) un libro y hago la tarea para el lunes. A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form? A. y = 3x 10 B. y = 2x 14 C. y = 3x + 14 D. y = x + 4 Frankenstein Discussion Questions: Readings 1 (Letter 1 - Chapter 5) Helppppp Plzzzz!!!!!!! 15+PTS and brainliest!!!!!!!!!!!Armed with all of the knowledge that President Truman and his advisors had accumulated, how would you have ended the war in the pacific? Which of the following statements best describes Nazi ideology?number 7 what leads to a more prosperous society, a monarchy or communism?can somebody help me wit this question please!!! What is the solution?WILL GIVE BRAINLIEST Write the number in scientific notation. 0.00000515 Mr. Yien reports to the clinic after having passed reddish- colored urine this morning. He reports that he has been feeling very fatigued for several weeks and hasn't been urinating as much as usual. He also tells you that three years ago he had a kidney transplant. You order a urinalysis, which is positive for large amounts of blood and protein. What is potentially causing Mr. Yien's problems, given his medical history? Explain. 1. Which expression has a value of -28? > A (-20) + 18 : (-3) B 2 (2) + 48 = (-2) C-3 2 (-22) D -4.5 - 8 Past due. This attempt will be submitted late. Last sav pleasee helpppp i need the answer Segment A representsno accelerationnegative accelerationpositive accelerationPELASE HURRY IM TIMED A students performance in Test 1 and Test 2 for all the 6 subjects has to be compared graphically for the current academic year. Which form of graph would be appropriate in this case? *Bar GraphHistogramDouble Bar Graph 50 points and brainliest! a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a(a picture will be provided as well) help plz right answers only if you give wrong answer or link you get reptored. Jesus went down to the river and stood before His cousin, John the Baptist.6. What are the prepositions in this sentence?a. to, beforeb. down, to, beforec. down, before Secondary sources are used in an essay to? A. give historical context to the topic. B. report or comment on a primary source. C. act as an additional primary source. D. provide personal knowledge and experience.